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Dialectics of Counting and Measures of Rough Theories (1102.2558v1)
Published 13 Feb 2011 in math.LO and cs.LO
Abstract: New concepts of rough natural number systems, recently introduced by the present author, are used to improve most rough set-theoretical measures in general Rough Set theory (\textsf{RST}) and measures of mutual consistency of multiple models of knowledge. In this research paper, the explicit dependence on the axiomatic theory of granules of \cite{AM99} is reduced and more results on the measures and representation of the numbers are proved.